Unfolding of a Quadratic Integrable System with a Homoclinic Loop-中国期刊网

摘要 <正>Inthispaper,wemakeacompletestudyoftheunfoldingofaquadraticintegrablesystemwithahomoclinicloop.MakingaPoincaretransformationandusingsomenewtechniquestoestimatethenumberofzerosofAbelianintegrals,weobtainthecompletebifurcationdiagramandallphaseportraitsofsystemscorrespondingtodifferentregionsintheparameterspace.Inparticular,weprovethattwoisthemaximalnumberoflimitcyclesbifurcatingfromthesystemunderquadraticnon-conservativeperturbations.

1张玉峰. An integrable Hamiltonian hierarchy, a highdimensional loop algebra and associated integrable coupling system.物理,2003-11.
2WUSHAOPING;LIUJIAQUAN. HOMOCLINIC ORBITS FOR SECOND ORDER HAMILTONIAN SYSTEM WITH QUADRATIC GROWTH.基础数学,1995-04.
3Yang He;Yajuan Sun;Zaijiu Shang. INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM.计算数学,2015-05.
4CHENQINGHUI ZHANGBAOCAI. THE NEW INTEGRABLE SYSTEM OF THE COMPLEX FORM AND THECOUPLED MKDV HIERARCHY.基础数学,1997-01.
5CHEN Lan-Xin;ZHANG Jun-Xian. A Finite-Dimensional Completely Integrable System Associated with Boussinesq Hierarchy.物理,2009-12.
6Yongzheng FU;Keqi WU;Yaqiao CAI. Stability Analysis of Closed-loop Water System.物理,2006-02.
7Xiaohong NIAN;Zhisheng DUAN;Wenyan TANG. Analytical solution for a class of linear quadratic open-loop Nash game with multiple players.控制理论与控制工程,2006-03.
8Chunbiao Li;Hankang Wang. Control and Synchronization of a Novel Hyperchaotic System Containing One Quadratic Term.系统科学,2009-01.
9Yu Ruifang;Zhou Xiyuan;Abduwaris Abduwahit. Complex complete quadratic combination method for damped system with repeated eigenvalues.地震学,2016-03.
10CHENHanfu. IDENTIFICATION OF BOTH CLOSED—AND OPEN—LOOP STOCHASTIC SYSTEM WHILE STABILIZING IT.系统科学,2002-01.

Unfolding of a Quadratic Integrable System with a Homoclinic Loop

来源期刊

相关推荐

同分类资源更多

相关关键词

Unfolding of a Quadratic Integrable System with a Homoclinic Loop

来源期刊

相关推荐

同分类资源 更多

相关关键词

同分类资源更多